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人気のある代数 >

15x^4+7x^2-2=0

解

15 x^{4} + 7 x^{2} - 2 = 0

解

x = \frac{1}{5}, x = - \frac{1}{5}, x = \frac{2}{3} i, x = - \frac{2}{3} i

解答ステップ

15 x^{4} + 7 x^{2} - 2 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

15 u^{2} + 7 u - 2 = 0

解く

15 u^{2} + 7 u - 2 = 0 : u = \frac{1}{5}, u = - \frac{2}{3}

u = \frac{1}{5}, u = - \frac{2}{3}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{1}{5} : x = \frac{1}{5}, x = - \frac{1}{5}

解く

x^{2} = - \frac{2}{3} : x = \frac{2}{3} i, x = - \frac{2}{3} i

解答は

x = \frac{1}{5}, x = - \frac{1}{5}, x = \frac{2}{3} i, x = - \frac{2}{3} i

グラフ

人気の例

x^3-5x^2+3x= 1/2

x^{3} - 5 x^{2} + 3 x = \frac{1}{2}

2x^3-3x^2-2x+3=x^2-1

2 x^{3} - 3 x^{2} - 2 x + 3 = x^{2} - 1

x^{3} - 5 x^{2} + x + 3 = 0

9x^4+69x^3-29x^2-41x-8=0

9 x^{4} + 69 x^{3} - 29 x^{2} - 41 x - 8 = 0

- x^{3} + 16 x = 0